套管水泥环组合抗挤强度模型及其弹性分析

231423(14)2467247020047ChineseJournalofRockMechanic[e-mail](163318)TE256TD313A1000-6915(2004)14-2467-04MODELANDELASTICITYANALYSISOFCOLLAPSESTRENGTHOFCASING-CEMENTMANTLEZhaoJunpingCuiHaiqing(PetroleumEngineeringInstituteDaqingPetroleumInstituteDaqing163318China)AbstractAmodelisestablishedforevaluatingthecollapsestrengthofcasing-cementmantleofoilfieldsubjectedtoexternalpressureandaconceptofelasticityofcollapsestrengthofcasing-cementmantleisputforward.Basedonthisconcepttheeffectofcementmantleonthecollapsestrengthofcasingandthesensitivityofcollapsestrengthtotheparametervariationofcementmantlearecalculatedandanalyzed.Keywordspetroleumengineeringcasing-cementmantleyieldcollapsestrengthelasticityofcollapsestrength1EvansHarriman23%[12][39]22abc(1)bctabt==csscEE•2468•2004scmmmeiPPPpYDshchsru⎥⎦⎤⎢⎣⎡-+---+-+=m2s22s2si2s22ssss)1()21()1()21(1PtrbtrPtrbrEurmmm(1)1Fig.1Sketchofcasing-cementmantle⎪⎪⎭⎪⎪⎬⎫-+⎟⎟⎠⎞⎜⎜⎝⎛+-+=++⎟⎟⎠⎞⎜⎜⎝⎛+-+=ruEruruEruEruruErrrrrrssssssssssssssrssssss1dd)21)(1(dd1dd)21)(1(mmmmsmmmmsq(2)ar=isPr-=sbr=msPr-=s⎪⎪⎪⎪⎭⎪⎪⎪⎪⎬⎫---=-+---=-----=m2sssi2sssm2s222s2i2s222sm2s222s2i2s222s1212)1()1()1()1(PttPtPtrbtrPtrbrPtrbtrPtrbrzrmmsssq(3)sqs0i==Parsmaxqsm222smax2Pabb-=qs(4)psmaxY=qsp222m2YbabP-=(5)emKPP=KYbabPp222e2-=(6)K2/)2(2/shDaDb-==KYhDhDPp2sse)/(1)/(2⎥⎦⎤⎢⎣⎡-=(7)(7)p2ss)/(1)/(2YhDhD⎥⎦⎤⎢⎣⎡-ypP[10]KPPype=(8)3K(1)br=mP(0i=P)⎥⎦⎤⎢⎣⎡-+--+=m2s2sssss1)21(1PtbbtEurmm(9)1)21(12s2ssss0--++=tbtbEfmm(10)m0sPfur-=mPePbr=cru⎥⎦⎤⎢⎣⎡-+---+-+=e2c22c2cm2c22cccc)1()21()1()21(1PtbctbPtbcbEurmmm(11))1()21(12c22ccc1-+-+=tbcbEfmm(12))1()21(12c222cccc2-+-+=tbcbtEfmm(13)e2m1cPfPfur-=br=csrruu=2314.•2469•-=-m1m0PfPfe2Pf(14)e102mPfffP+=102fffK+=(15)chbc+=)1()()21(12c2c2ccc1-++-+=tbhbbEfmm(16))1()()21(12c2c22cccc2-++-+=tbhbbtEfmm(17)(15)K4J-554.12J-557.72mm6.20mm214.222Table2Elasticityanalysisoncasing-cementmantlecollapsestrength0.0250.2120.0972.0240.2015(1)(2)1Table1Calculationoncollapsestrengthofcasing-cementmantle2J-55/mmEs/GPamsEs/GPamsD/mmt/mmD/tK/%6.2022.540.751833.012002060.341.20.23139.707.7218.100.818822.13•2470•20041H.[M]..199547492EvansGWHarrimanDW.Laboratorytestsoncollapseresistanceofcementedcasing[A].InProc.of47thAnnualMeetingoftheSocietyofPetroleumEngineersofAIME[C].SanAntonioTexas[s.n.]19723PattillioPDHuangNC.Theeffectofaxialloadoncasingcollapse[J].JournalofPetroleumTechnology1982(1)1591644GoodwinKJCrookRJ.Cementsheathstressfailure[J].SPEDrillingEngineering1992(12)2915El-SayedAAHFouadKhalaf.Resistanceofcementedconcentriccasingstringsundernonuniformloading[J].SPEDrillingEnginee-ring1992(3)59646PattilloPD.AnEvaluationofconcentriccasingfornonuniformloadapplications[J].SPEDrilling&Completion1995(9)1861927ThiercelinMJBaretJF.Cementdesignbasedoncementmechanicalresponse[J].SPEDrilling&Completion1998(12)2662738FereidounAbbassianParfittSHL.Asimplemodelforcollapseandpost-collapsebehavioroftubularswithapplicationtoperforatedandslottedliners[J].SPEDrilling&Completion1998(9)1901969PayneML.ModernizationofOCTGperformanceanddesignstandards[R].PaperpresentedatOffshoreTechnologyConferenceHouston200110().()[M].1990SINOROCK2004200451821SINOROCK2004J.A.HudsonNielenvanderMerwenCharesFairhurstJ.A.HudsonLeeChung-InNickBartonOveStephanssonWulfSchubertEdaQuardros22240(119122)NickBartonCharesFairhurstWulfSchubert180ElsevierLtd(973)SINOROCK342()